I always ensure my brass is completely dry, not even the slightest dampness. This is just how I was taught and it has worked well for me. Moisture and gun powder are not a good mix.
I have never had a problem getting my LNL to seat below flush. I read that the primer seating punch can wear a "divot" in the frame so I added a SS washer where it showed wear before it became a problem. Prevention is better that problem solving.
"My goal is to have a set up I don't have to adjust for ~2000-3000k rounds at a time. To be able to do that in one sitting every month or so."
That is not a problem with with the LnL.
I added an O-ring to the bolt that holds the shell plate on, it stops the bolt from working loose which is a common cause for issues. Next make sure the pawls are correctly adjusted.
Or use the Cajun gun works pin, I have one and I dry fire both my 75B and SP-01 with ne problems. BUT a spare is always a good idea
https://cajungunworks.com/product/61100-tempered-spring-steel-firing-pin-retaining-pin/
Also keep the (PART #55) breakaway cam plunger clean, as it tends to collect crud. It is located at the bottom of the cam wire that operates the primer slide.
MSA and plugs. When I compete in an indoor range using both is a must and with the plugs in you can give yourself a rest from the headphones between shooters.